Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
1344j |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
243799621632 = 216 · 312 · 7 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1569,-3393] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:144:1] |
Generators of the group modulo torsion |
j |
6522128932/3720087 |
j-invariant |
L |
2.8583584535406 |
L(r)(E,1)/r! |
Ω |
0.82077748574339 |
Real period |
R |
0.29020842059199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1344l4 168b3 4032o4 33600c3 |
Quadratic twists by: -4 8 -3 5 |